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Finding the Fourth Proportional to 455,955.87, 683,947.75 and 156,432.25

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Solution

The fourth proportional to 455,955.87, 683,947.75 and 156,432.25 is: 234,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,955.87 : 683,947.75 = 156,432.25 : x
  2. Step 2: Convert to fraction form
    455,955.87/683,947.75 = 156,432.25/x
  3. Step 3: Cross multiply
    455,955.87x = 683,947.75 × 156,432.25
  4. Step 4: Simplify right side
    455,955.87x = 106,991,485,414.94
  5. Step 5: Solve for x
    x = 106,991,485,414.94/455,955.87
  6. Step 6: Final answer
    x = 234,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.